Question

the length of a rectangle is 5 less than twice its width. The perimeter is 26 meter. Find the dimesions of the rectangle.

Answer 1

let the breadth = x meter
length = (2x-5) meter

perimeter = 2(l+b)

=> 26 = 2(2x-5 + x)

=> 26 = 2(3x - 5)

=> 26= 6x - 10

=> 26 + 10 = 6x

=> 6x = 36

=> x = 36/6 = 6 meter

Thus, breadth = 6 meter

length = 2x-5 = 2×6 - 5 = 12 - 5 = 7 meter